#define _CRT_SECURE_NO_WARNINGS 1
#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <queue>

using namespace std;

const int N = 1010, M = 20010;

struct Ver
{
    int id, type, dist;
    bool operator> (const Ver& W) const
    {
        return dist > W.dist;
    }
};

int n, m, S, T;
int h[N], e[M], w[M], ne[M], idx;
int dist[N][2], cnt[N][2];
bool st[N][2];

void add(int a, int b, int c)
{
    e[idx] = b, w[idx] = c, ne[idx] = h[a], h[a] = idx++;
}

int dijkstra()
{
    memset(st, 0, sizeof st);
    memset(dist, 0x3f, sizeof dist);
    memset(cnt, 0, sizeof cnt);

    dist[S][0] = 0, cnt[S][0] = 1;
    priority_queue<Ver, vector<Ver>, greater<Ver>> heap;
    heap.push({ S, 0, 0 });

    while (heap.size())
    {
        Ver t = heap.top();
        heap.pop();

        int ver = t.id, type = t.type, distance = t.dist, count = cnt[ver][type];
        if (st[ver][type]) continue;
        st[ver][type] = true;

        for (int i = h[ver]; ~i; i = ne[i])
        {
            int j = e[i];
            if (dist[j][0] > distance + w[i])
            {
                dist[j][1] = dist[j][0], cnt[j][1] = cnt[j][0];
                heap.push({ j, 1, dist[j][1] });
                dist[j][0] = distance + w[i], cnt[j][0] = count;
                heap.push({ j, 0, dist[j][0] });
            }
            else if (dist[j][0] == distance + w[i]) cnt[j][0] += count;
            else if (dist[j][1] > distance + w[i])
            {
                dist[j][1] = distance + w[i], cnt[j][1] = count;
                heap.push({ j, 1, dist[j][1] });
            }
            else if (dist[j][1] == distance + w[i]) cnt[j][1] += count;
        }
    }

    int res = cnt[T][0];
    if (dist[T][0] + 1 == dist[T][1]) res += cnt[T][1];

    return res;
}

int main()
{
    int cases;
    scanf("%d", &cases);
    while (cases--)
    {
        scanf("%d%d", &n, &m);
        memset(h, -1, sizeof h);
        idx = 0;

        while (m--)
        {
            int a, b, c;
            scanf("%d%d%d", &a, &b, &c);
            add(a, b, c);
        }
        scanf("%d%d", &S, &T);

        printf("%d\n", dijkstra());
    }

    return 0;
}